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A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This…

Numerical Analysis · Mathematics 2013-02-22 A. V. Shutov , J. Ihlemann

In order to enhance the modeling of metallic materials behavior in non proportional loadings, a modification of the classical elastic-plastic models including distortion of the yield surface is proposed. The new yield criterion uses the…

Classical Physics · Physics 2016-11-27 Marc Louis Maurice François

This study proposes a modification to the yield condition that addresses the mathematical constraints inherent in the Directional Distortional Hardening models developed by Feigenbaum and Dafalias. The modified model resolves both the…

Materials Science · Physics 2026-03-16 Md Mahmudur Rahman , Md Mahmudul Hasan Pathik , Nazrul Islam

A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition…

Mathematical Physics · Physics 2010-10-12 Davide Bigoni , Andrea Piccolroaz

In two-dimensional Lennard-Jones glasses, mechanical probing reveals that local yield surfaces are dominated by regions with a positive second derivative of the yield stress with respect to the loading angle. Each feature corresponds to a…

Soft Condensed Matter · Physics 2026-03-19 Spencer Fajardo , Paul Desmarchelier , Sylvain Patinet , Michael L. Falk

A yield surface of a material is a set of critical stress conditions beyond which macroscopic plastic deformation begins. For crystalline solids, plastic deformation occurs through the motion of dislocations, which can be captured by…

Materials Science · Physics 2024-02-06 Wu-Rong Jian , Mian Xiao , WaiChing Sun , Wei Cai

The yield stress is a defining feature of amorphous materials which is difficult to analyze theoretically, because it stems from the strongly non-linear response of an arrested solid to an applied deformation. Mode-coupling theory predicts…

Statistical Mechanics · Physics 2013-11-14 Atsushi Ikeda , Ludovic Berthier

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig

Convexity of a yield function (or phase-transformation function) and its relations to convexity of the corresponding yield surface (or phase-transformation surface) is essential to the invention, definition and comparison with experiments…

Mathematical Physics · Physics 2009-04-27 Andrea Piccolroaz , Davide Bigoni

The stress-strain curves of most metallic alloys are often described using the relatively simple Ramberg-Osgood relationship. Whilst this description captures the overall stress-strain curve under monotonic tensile loading with reasonable…

Materials Science · Physics 2022-06-28 Jingwei Chen , Alexander M. Korsunsky

We investigate, using a recently developed model of liquid state theory describing the rheology of dense granular flows, how a yield stress appears in granular matter at the yielding transition. Our model allows us to predict an analytical…

Soft Condensed Matter · Physics 2021-12-20 O. Coquand , M. Sperl

Applicability of associated plasticity for particulate materials such as soils does not yield satisfactory results when Coulomb's theory of shear strength of soils is assumed, and the yield function derived accordingly is used to define…

Applied Physics · Physics 2021-01-26 Anteneh Biru Tsegaye

A new model for elucidating the mathematical foundation of plasticity yield criteria is proposed. The proposed ansatz uses differential geometry and group theory concepts in addition to elementary hypotheses based on well-established…

Materials Science · Physics 2024-05-15 J. M. Luque , R. Campoamor-Stursberg

In this paper, we discuss a method to calculate the topology of the rate independent single crystal yield surface for materials with arbitrary slip systems and arbitrary slip strengths. We describe the general problem, as motivated by…

Materials Science · Physics 2025-03-04 Matthew Kasemer , Paul R. Dawson

This note discusses briefly the definition of yield surface in hypoplasticity in connection with the physical notion of yielding. The relation of yielding with the vanishing of the material time derivative of the stress tensor and the…

Classical Physics · Physics 2010-12-21 José Jorge Nader

The mechanical response of yield-stress materials below the yield point remains a subject of debate. Two of the most widely used constitutive models for these materials offer fundamentally conflicting views: one permits plastic flow at all…

This paper proposes that elastic potentials, which may be rigorously formulated using the negative Gibbs free energy or the complementary strain energy density, should be used as the basis for the plastic part of elasto-plastic constitutive…

Soft Condensed Matter · Physics 2018-06-01 Jorge Castro

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent…

Soft Condensed Matter · Physics 2021-06-30 Srikanth Sastry

We explore the rheology predicted by a recently proposed constitutive model for jammed suspensions of soft elastic particles derived from particle-level dynamics [Cuny et al., Phys. Rev. Lett. 127, 218003 (2021)]. Our model predicts that…

Soft Condensed Matter · Physics 2022-01-06 Nicolas Cuny , Éric Bertin , Romain Mari

Many soft jammed materials, such as pastes, gels, concentrated emulsions, and suspensions, possess a threshold stress, known as yield stress, that must be exceeded to cause permanent deformation or flow. In rheology, the term plastic flow…

Soft Condensed Matter · Physics 2025-11-03 Yogesh M. Joshi , Alexander Ya. Malkin
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